Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 1
OPERATOR INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 204–211
- DOI
- —
Abstract
In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number ber(A) for some self-adjoint operators A on H(Ω). Namely, some Mulholland type inequality for reproducing kernel Hilbert space operators are established. By applying this inequality, we prove that (ber(A))n ≤ C1ber(An) for any positive operator A on H(Ω).